1950s youth from current book featuring in play (5,3)
I believe the answer is:
teddy boy
'1950s youth' is the definition.
(reference to 1950s subculture)
'current book featuring in play' is the wordplay.
'current' becomes 'eddy' (eddy is a kind of current**).
'book' becomes 'b'.
'featuring in' means one lot of letters goes inside another.
'play' becomes 'toy' ('toy' can be a synonym of 'play').
'eddy'+'b'='eddyb'
'eddyb' placed within 'toy' is 'TEDDY BOY'.
'from' is the link.
(Other definitions for teddy boy that I've seen before include "old rock-and-roller" , "Dressy adolescent of the '50s" , "Mid-1950s British youth with long sideboards" , "Quiff owner of the 1950s" , "Unruly adolescent of the 1950s" .)