Seats held and carried by Labour? (5,6)

'carried by labour?' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'seats held and' is the wordplay.
I cannot really understand how this works, but
'seats' could be 'chairs' (chair is a kind of seat) and 'chairs' is located in the answer.
an anagram of 'and' is 'dan' which is located in the answer.
The remaining letters 'se' is a valid word which might be clued in a way I don't see.
This may be the basis of clue (or it may be nonsense).

Can you help me to learn more?