Praise the fact that it's cheaper at the Boar's Head (5)
I believe the answer is:
bless
'praise the fact' is the definition.
'bless' can be an answer for 'praise' (I've seen this before). I am unsure of the 'the fact' bit.
'it's cheaper at the boar's head' is the wordplay.
'it's cheaper' becomes 'less' (I've seen this in another clue).
'at' is a charade indicator (letters next to each other) (I've seen this in other clues).
'head' says to take the initial letters.
The initial letter of 'boars' is 'b'.
'less' after 'b' is 'BLESS'.
'that' is the link.
Can you help me to learn more?
(Other definitions for bless that I've seen before include "Approve of" , "Invoke divine favour on" , "Glorify" , "Order of service" , "Endow; praise" .)