Rover, in search of pleasure, takes false silver back and forth (8)
I believe the answer is:
gadabout
'rover in search of pleasure' is the definition.
'false silver back and forth' is the wordplay.
'false' becomes 'bad'.
'silver' becomes 'ag' ('Ag' can be a synonym of 'silver').
'back' says the letters should be written in reverse.
'and' is a charade indicator (letters next to each other).
'forth' becomes 'out'.
'bad'+'ag'='badag'
'badag' back-to-front is 'gadab'.
'gadab'+'out'='GADABOUT'
'takes' is the link.
(Other definitions for gadabout that I've seen before include "Person who wanders aimlessly in search of pleasure" , "restless sort" , "restless type" , "Person who goes around aimlessly" , "Restless seeker after amusement" .)