Is there anything saying a character CAN'T gain the same keyword twice?

REBUILD THE FOOT CLAN IN THE OLD WAYS: Leadership. When building your force, friendly characters 75 points or less with the Martial Artist keyword also have the Foot Clan keyword.

I'm only asking in case a future effect works off of bonuses with keywords.

You probably can't have the same keyword multiple times. You either have a keyword, or you don't.

I can't imagine this ever coming up. The only effects we've ever seen that care about the number of keywords only refer to printed keywords (which I think is just chase Photon?).

Lantern Jordan beat me to it

Was going to say you could try to put together a question for WIN on this interaction with Karai and Chase Photon both being Modern but she says printed so it would be instantly rejected I think.

And pretty sure the answer is what LJ said even if she didn't say "printed."