Classy headgear's better at accommodating head of hair (3,3)
I believe the answer is:
top hat
'classy headgear's' is the definition.
'top hat' can be an answer for 'headgear's' (top hat is a kind of headgear). I'm unsure of the 'classy' bit.
'better at accommodating head of hair' is the wordplay.
'better' becomes 'top' (top can mean to better or outdo).
'accommodating' means one lot of letters goes inside another.
'head of' indicates taking the first letters.
The first letter of 'hair' is 'h'.
'top'+'at'='topat'
'topat' enclosing 'h' is 'TOP-HAT'.
Can you help me to learn more?
(Other definitions for top hat that I've seen before include "Film starring Fred Astaire" , "Kind of headgear, goes with 28 down" , "Formal attire" , "Film with Astaire and Rogers" , "Formal headgear of lofty sort" .)