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When you suck them titteees with a little bit of teeth (usually on the nipple).
Also used as : tittymuncher-used as a douchebag that sweats alot.
Girl: My nipples are so sore right now.
BFF: Why what happened.
BF: I tittymunched her nips.

"Our music director is such a fucking tittymuncher."
by Tittymuncher. November 01, 2011
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