Cleaner given notice — minimum of excuse for absurd act (7)
I believe the answer is:
charade
'absurd act' is the definition.
(I've seen this before)
'cleaner given notice minimum of excuse' is the wordplay.
'cleaner' becomes 'char' (char can mean a cleaner).
'given' means one lot of letters go next to another.
'notice' becomes 'ad' (both can mean an advertisement).
'minimum of' suggests taking the first letters.
The initial letter of 'excuse' is 'e'.
'char'+'ad'+'e'='CHARADE'
'for' is the link.
(Other definitions for charade that I've seen before include "An absurd pretence, could be a game" , "Party game using mime" , "absurd behaviour" , "Ridiculous pretence" , "Total pretence (as in game)" .)