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play on words

n. (context idiomatic English) A pun, or similar humorous use of language such as a double entendre

Wikipedia
Play On Words (game)

Play on Words is a word card game, in which players build words from 8 stacks of cards which show available letters. Players earn points by building words from the stacks or stealing opponents' words. Words can be captured if they are added to or rearranged to make a new word. Play on Words was released by David James Games in 2014.

Usage examples of "play on words".

We are clubbing together to get him a Surprise Present, I thought one of those new Watches that dont need demons to make them go and we could inscribe on the back something like A Watch from, your Old Freinds in the Watch, this is a pune or Play on Words.

And he would be left, in some humiliation, having found, as Merton Gill took himself forever out of retail trade, that two could play on words as well as one.

Only later did I get the fairly weak play on words based on Armenian names all ending in i-a-n.