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Clean My Cucumber either means:

To masturbate.
To Clean Your Cucumber you've purchased or grown.

Usually, when one says "Clean My Cucumber" it's slang for beating off.
Man, I haven't cleaned my Cucumber in a week!

Nah dude, I can't go to the party, I really got to Clean My Cucumber.

Hot damn! I'd Clean My Cucumber to that fine lady!
by IHCMC May 27, 2011