|Origin:||wee 'small amount, short time' (13-20 centuries), from Old English wæge 'weight'|
wee1 [usually before noun]
very small - used especially in Scottish English:
My wee boy is three.
to a small degree:
She looked a wee bit confused.
3 American EnglishTMC
the early hours of the morning, just after 12 o'clock at night [= the small hours British English]
The party continued into the wee small hours.