Definition:

affectedly or excessively dainty, delicate, cute, or quaint

Example:

"Micmacs [is a] ramshackle and unbearably twee French comedy." – Chris Tookey, Daily Mail Online, February 26, 2010

About the word:

Twee is a baby-talk alteration of sweet. It first appeared in print in a 1905 issue of the British magazine Punch.