Might relish the style of some businesswomen (5,8)
I believe the answer is:
power dressing
'the style of some businesswomen' is the definition.
I can't judge whether this defines the answer.
'might relish' is the wordplay.
'might' becomes 'power' (being mighty).
'relish' becomes 'dressing'.
'power'+'dressing'='POWER-DRESSING'
Can you help me to learn more?
(Other definitions for power dressing that I've seen before include "Style perhaps adopted by women executives" , "Professional women's fashion style, designed to project authority" , "Style of female business wear designed to establish authority" , "(Of women) donning clothes to look authoritative" , "Wearing of severely tailored suits by some women executives" .)