Could it be an elder's part, to snore away thus? (5,4,1,3)
I believe the answer is:
sleep like a log
'could it' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.
'an elder's part to snore away thus?' is the wordplay.
I cannot quite see how this works, but
'an' could be 'i' (Roman numeral for one) and 'i' is found in the answer.
'part' could be 'lee' (lee is a kind of part) and 'lee' is located in the answer.
'away' could be 'a' (abbreviation as used in sports fixtures) and 'a' is located in the answer.
This may be the basis of the clue (or it may be nonsense).
'be' acts as a link.
Can you help me to learn more?
(Another definition for sleep like a log that I've seen is " Be deeply dormant".)