Style of greeting in cricket club (4)
I believe the answer is:
chic
'style' is the definition.
(chic can mean elegance or style)
'greeting in cricket club' is the wordplay.
'greeting' becomes 'hi' (hi is a kind of greeting).
'in' means one lot of letters goes inside another.
'cricket club' becomes 'cc' (cricketing abbreviation).
'hi' put into 'cc' is 'CHIC'.
'of' acts as a link.
(Other definitions for chic that I've seen before include "A la mode" , "Snazzy" , "Elegantly fashionable" , "Well turned out" , "Stylishness, elegance" .)