From The Collaborative International Dictionary of English v.0.48:
Cute \Cute\ (k[=u]t), a. [An abbrev. of acute.]
1. Clever; sharp; shrewd; ingenious; cunning. [Colloq.]
[1913 Webster]
2. pleasantly attractive, in a delicate way; -- said of
children, young ladies, pet animals and some objects, but
seldom of adults; as, a cute child; a cute kitten; a cute
little house; a cute statue.
[PJC]
3. smart-alecky or impertinent; as, a cute remark.
[PJC]
4. affectedly clever. --RHUD
[PJC]