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1.
A word used to describe someone who is cute and mischievous.

The word originates from conjunction of "Baby Doll" and a commonly used suffix "ster" to denote a playfully naughty nature.
When you stuffed snow down my clothes it gave me cold for two weeks, but I still wuv you babester because you looked so cute doing it!
by TheKeyur December 01, 2010
 
2.
term of endearment; combination of baby and hamster
Girl- "Babester I love you"
by Baby Hamster December 03, 2008