Fish rest regularly, finding cover (6)
I believe the answer is:
carpet
'cover' is the definition.
(carpeting is a kind of covering)
'fish rest regularly' is the wordplay.
'fish' becomes 'carp' (carp is a kind of fish**).
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
The alternating letters of 'rest' are 'et'.
'carp'+'et'='CARPET'
'finding' is the link.
(Other definitions for carpet that I've seen before include "roll of fabric?" , "Roll the red one out for VIP" , "It could be flying" , "Reprimand, reprove" , "Pet car on the floor" .)