If Arundel Brewery shop is open in the centre of Arundel, that’s about your only option. There’s not really anything beer wise in Chi, for takeaway.
Arundel pubs:
The Black Rabbit (Hall and Woodhouse pub right on the river, but about a mile outside Arundel. Worth it though)
The Red Lion
The Swan Hotel
St Mary’s Gate Inn (Hall and Wood house pub)
Chichester:
Belle Isle
The George and Dragon
The Chichester Inn