1.
Abbreviation for Tinkerbell. Someone vague and not always focused. Used affectionatley to hassle your girlfriend for not understanding something pretty damn simple.

Yeah, my girls the best.... But she's a bit of a tinky.

See Jimmy

2.
To piss.

I need to tinky sooooo bad!!

See piss, pee, toilet, bathroom, loo

3.
Fun, drunken times. Derived from the phrase "drinky tinky," in which "tinky" is roughly translated to "time."

"Oh my god, I need tinky so bad right now!"

See tinky winky, drunk, seekrit langwidge

4.
A cute synonym for cock, dickor penis.

Stood up on his date, Dilbert stayed home all night and pulled his tinky.