Due to history-making deeds, the fathead lives on! (5)
I believe the answer is:
feats
'due to history-making deeds' is the definition.
I can't tell whether this definition defines the answer.
'fathead lives on' is the wordplay.
'fathead' becomes 'f' (head letter of 'fat').
'lives on' becomes 'eats' (I can't justify this - if you can you should believe this answer much more).
'f'+'eats'='FEATS'
'the' is the link.
Can you help me to learn more?
(Other definitions for feats that I've seen before include "Stunts" , "Deeds, exploits" .)