Well known to have done wrong about central heating (5)
I believe the answer is:
noted
'well known' is the definition.
(I've seen this before)
'done wrong about central heating' is the wordplay.
'wrong' indicates anagramming the letters.
'about' indicates putting letters inside.
'central' means to look at the middle letters.
The middle letter of 'heating' is 't'.
'done' is an anagram of 'noed'.
'noed' enclosing 't' is 'NOTED'.
'to have' is the link.
(Other definitions for noted that I've seen before include "written down" , "Famous, well-known - entered into little book" , "Distinguished" , "Scores like this" , "Observed - famous" .)