Clawdget

Clawdget is the slash ship between Doctor Claw and Inspector Gadget from the Inspector Gadget fandom.

Canon
They don't have much face-to-face interaction nor do they interact at all unless it's Claw trying to dispose of Gadget permanently or Gadget not realizing he's talking to Claw when he's unknowingly helping him, or the Live-Action Movies and Biggest Caper(Maybe even Last Case if you count Claw's Debonaire ruse).

The one thing they have in similarities is getting each other. Claw wants to get rid of Gadget. Gadget wants Claw behind bars, but, both have failed in their goals, which end up in a long-term Cat and Mouse chase. Although there are some times where Claw does manage to get Gadget, Gadget ends up escaping. While Gadget is sometimes close to capturing Claw and putting him behind bars, he always ends up unsuccessful in his goal.

Original Series
During Season 1, Episode 5 "the Amazon" of the OG series, Claw tells Annie and his men to "save Gadget" (in the context of him wanting Gadget alive just to transfer his brainwaves into the numerous robot Gadget clones.

In the Season 1, Episode 54 "Smelderado" Claw says "My Dear Gadget" as he attempts to get rid of him again, which of course fails

]In Season 2, Episode 8 "The Incredible Shrinking Gadget" Dr Claw tries to employ a ray gun to shrink Inspector Gadget down to the size of a mouse so he could put him in a mouse-sized cage for whatever reasons that has to do with his plan to get rid of Gadget. There's also the fact that he had tiny Gadget figurines and cameras around Gadget's house(and anywhere Gadget would be) which shows Claw having somewhat of an unhealthy obsession with Gadget. Also a bit of a freak since he wants to put his nemesis in a mouse-sized cage.

2015 Series
In Season 2, Episode 4 "Double O' Penny/We Heart Gadget", Claw gets matched up with Gadget at the end of the episode, he got upset about it. This was most likely played as a gag since the show is mostly around Talon and Penny. In Season 2, Episode 8 "Gadget and Oatsfunkle/Metro City's Sinking" Claw devises a plan to blow up a volcano to destroy Metro City by making Gadget create more albums with Talon dressed up at Oatsfunkle. Gadget and Oatsfunkle’s music were the "sounds of his youth" He gets defensive about Gadget's music when Talon makes a remark about if it sounded as bad as it looks, but, Claw quickly stops himself and says "Yes". Before starting to compliment Gadget's music after Talon said that he sounded like a Gadget Groupie. At the end of the episode Claw is seen listening to it, saying how it was “so good.”

1999 Movie
One scene had Claw blowing cigar smoke in Gadget's face right after Gadget lit it up for him, before he cracked a "Mr. Gizmo" joke when Gadget went to go get champagne. He also had a robotic Gadget replica made, along with a Robobrenda, by his scientist, Kramer. However, he was shown to be more prioritized on RoboGadget, instead of bringing the RoboBrenda he brought RoboGadger along during his escape from Riverton. When he captured Gadget, he showed him a video of his clone causing havoc. Telling Gadget about his plans about creating a robotic army, and then telling to get Kramer to get rid of the chip before he “butchers another language”. Kramer faints when he goes to remove the chip. Claw takes things into his own hands, and asks Gadget if he could do the honors. Not waiting for a reply, he removes N.S.A chip from Gadget and destroys it.

Gadget's Last Case
One hour into the movie Claw(Debonaire) gives Gadget his number(presumably his actual one), of course, it was mockingly. "All those gadgets, I could use a man like you. For a janitor" Of course, giving Gadget his number led to his arrest. Since Penny had found out that it was in fact, Claw's number. Claw escapes once again, continuing the Cat and Mouse chase.

Quotes
"Why, it's that annoying little security guard from the institute. So he's the lucky duck they plucked for the Gadget program. Ha! Irony abounds."

- Claw to Gadget before removing the chip

"I'm sorry Gadget. Good help is so hard to find these days. Would you mind if I do the honors?"

- Claw to Gadget before removing the NSA chip

Fanon
is either portrayed as romantic or dark among shippers, sometimes with a bit of "Good Guy joining the Bad Guys" or "Bad Guy joining the Good Guys" trope.

People love the idea of tragic Lovers to Enemies or just the idea of Hero/Villain ships. Sure, Claw has tried to off Gadget multiple times, but hey, it's ship for those who like old men trying to take each other down, plus it appeals to people who love Good/Bad ships like Valvert.

It's more of a popular ship on Ao3 as of today with only 25 works, on other platforms it's a more smaller ship with only 100+ posts on Instagram.

Fans would sometimes have AUs or draw these two differently than their canon designs(much like the rest of the IG fandom)

Fandom
FAN FICTION

TUMBLR

INSTAGRAM

Songs
I Can’t Decide by Scissor Sisters

Trivia

 * In both the OG series and the 1999 movie, Claw made evil robot Gadget clones.
 * Claw made a face of grimace when Sykes said "Hey, that looks like the guy we almost killed!" in the 1999 movie.
 * In the 1999 movie Claw is not surprised when Gadget comes back to life.