Leading hotel on a budget finally getting suitable cover (3,3)
I believe the answer is:
top hat
'suitable cover' is the definition.
(formal covering for one's head)
'leading hotel on a budget finally' is the wordplay.
'leading' becomes 'top' (both can mean first-class).
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'on' is a charade indicator (letters next to each other).
'finally' indicates one should take the final letters.
The final letter of 'budget' is 't'.
'top'+'h'+'a'+'t'='TOP-HAT'
'getting' is the link.
(Other definitions for top hat that I've seen before include "1935 Fred Astaire/Ginger Rogers film" , "Astaire musical" , "It's seen with tails" , "Formal headgear for man" , "Film with Astaire and Rogers" .)