A big gal came running across entrance to Gatwick arrivals area (7,5)

I believe the answer is:

baggage claim

'arrivals area' is the definition.
(arrivals area in an airport)

'a big gal came running across entrance to gatwick' is the wordplay.
'running' indicates an anagram.
'across' indicates putting letters inside.
'entrance to' suggests taking the first letters.
The initial letter of 'gatwick' is 'g'.
'a'+'big'+'gal'+'came'='abiggalcame'
'abiggalcame' is an anagram of 'bagageclaim'.
'bagageclaim' enclosing 'g' is 'BAGGAGE CLAIM'.

I've seen this clue in The Times.

Want a hint initially instead of a full solution? Install my app