Hard Rock Cafe finally faced by one blocking subsidy (7)
I believe the answer is:
granite
'hard rock' is the definition.
(I've seen this before)
'cafe finally faced by one blocking subsidy' is the wordplay.
'finally' suggests the final letters.
'faced by' says to put letters next to each other.
'one' becomes 'i' (Roman numeral).
'blocking' indicates putting letters inside.
'subsidy' becomes 'grant' (I've seen this before).
The final letter of 'cafe' is 'e'.
'i' going inside 'grant' is 'granit'.
'e' after 'granit' is 'GRANITE'.
(Other definitions for granite that I've seen before include "Tearing (anag.)" , "Crystalline rock" , "Hard stone from Tangier" , "Get rain (anag) - rock" , "A very hard rock from Tangier" .)