Cry out for the old-fashioned vinyl record (4)
I believe the answer is:
yelp
'cry out' is the definition.
(I've seen this in another clue)
'the old-fashioned vinyl record' is the wordplay.
'the old-fashioned' becomes 'ye' (resembles a historical spelling of 'the').
'vinyl record' becomes 'LP' (abbreviation for long play record).
'ye'+'lp'='YELP'
'for' is the link.
(Other definitions for yelp that I've seen before include "Cry of pain" , "Short sharp cry or bark" , "Sharp shrill cry or bark" , "Barking" , "Squeal" .)