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1.
What your penis looks like from a standing position whilst urinating...so called because the foreskin overhangs the tip of the helmet by between half an inch and an inch and the natural curvature of the penis resembles a dolphin.

This is a less extreme version of ant-eater cock.
"when peter was taking a piss he produced a baby dolphin...it was like a surprise trip to seaworld "
by Alzo April 25, 2009
 
2.
The term 'Baby Dolphin' is used when you are with a group of close friends in public and you realize that you have diarrhea, bubble guts, or just need to make a serious trip to the restroom without insulting those around you.

This term is mainly used in a serious situations where you must leave a party or event because you're about to soil your pants and embarrass yourself and others around you.

It's a more discrete way of saying that you need to crap rather than saying it out loud. You simply look at the driver and say, baby dolphin!
Last night we were at a killer party and Taylor looked at me and screamed 'Baby Dolphin', I could tell it was serious so we left and stopped at the nearest gas station.

We were on a double date last night with the guys and Sarah sent me a text under the table that said 'Baby Dolphin', so I went with her to the restroom so her diarrhea wasn't so obvious.
by Ricky Roseay July 11, 2013
 
3.
Someone who bends over backwards to service customers. No self dignity whatsoever. (See: Ho, Skank)
"Hey there baby dolphin, service any customers lately?"
by foo February 10, 2004