Many of Beatrix Potter's books are a bit twee, but some show considerable depth.
From the guardian.co.uk
Twee lyrics and a grating middle section render this song ultimately disposable.
From the morningstaronline.co.uk
Self-absorbed and self-pitying, The Lost Child is an extraordinarily twee book.
From the metro.co.uk
London luvvies and hangers on from the twee set patting themselves on the back.
From the guardian.co.uk
I saw this movie and liked it, although it does veer off into twee a few times.
From the guardian.co.uk
Cerveris's Wilson, in particular, is a bit twee for such a hardened, earthy rogue.
From the washingtonpost.com
Flood chuckles as he relates a recent review that described the group as twee.
From the morningstaronline.co.uk
Are you, or do you know, a photographer with an interest in the twee and pixelated?
From the techcrunch.com
Stately and twee, the Elves inhabit a kind of Middle-earth Renaissance faire.
From the entertainment.time.com
More examples
Dainty: affectedly dainty or refined
Overly quaint, dainty, cute or nice
(tweeness) The quality or state of being twee
(twees) (abbrev; n.): "Buttweesimo" (meaning simply "butt"), used in lady fan and Homestar Ruiner.
(adj.) applied to musical groups [such as, e.g., Sebadoh and Veruca Salt]: having a relatively inoffensive, blandly popular appeal and outlook; used condescendingly by members of Concert Board, a club responsible for bringing musical acts to the campus
Adj. 1. Prissy, as in, a ``twee hat'' or ``twee joke.''
Is a derogatory term in that something or someone is twee, meaning old fashioned, old hat, out of date, very uncool.