Edge edge edges ledge's edge (5)
I believe the answer is:
sidle
'edge' is the definition.
(I've seen this before)
'edge edges ledge's edge' is the wordplay.
'edge edges' becomes 'sid' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'edge' suggests removing the centre (I've seen 'edging' mean this (edging means the letters on the edges)).
'ledge' with its centre taken out is 'le'.
'sid'+'le'='SIDLE'
Can you help me to learn more?
(Other definitions for sidle that I've seen before include "Move in furtive or timid manner" , "Slink, creep, sneak" , "Make cautious progress" , "Move crabwise" , "Move along sideways" .)