Makes peer and earl run away from home, twice (7)
I believe the answer is:
equates
'makes peer' is the definition.
(a peer is an equal)
'from home twice' is the wordplay.
'from' becomes 'e' (I've seen this in other clues).
'home twice' becomes 'quates' (I am not sure about this - if you are sure you should believe this answer much more).
'e'+'quates'='EQUATES'
'and earl run away' acts as a link.
This may not be correct. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for equates that I've seen before include "Regards as identical" , "Corresponds, matches" , "Considers to be equal or equivalent" .)