No cassette and vinyl recording, no sound at all (3,1,4)
I believe the answer is:
not a peep
'no sound at all' is the definition.
('not a peep' means with no audible sound)
'no cassette and vinyl recording' is the wordplay.
'cassette' becomes 'tape' (I've seen this before).
'and' means one lot of letters go next to another.
'vinyl recording' becomes 'EP' (Extended Play, type of vinyl record).
'no'+'tape'+'ep'='NOT A PEEP'
(Other definitions for not a peep that I've seen before include "No noise" , "Total silence" .)