Take in and appreciate the centre of Jamestown (6)
I believe the answer is:
digest
'take in' is the definition.
(I've seen this in another clue)
'appreciate the centre of jamestown' is the wordplay.
'appreciate' becomes 'dig' (to dig can mean to appreciate or 'get').
'the centre of' means to look at the middle letters.
The centre of 'jamestown' is 'est'.
'dig'+'est'='DIGEST'
'and' acts as a link.
(Other definitions for digest that I've seen before include "Make more concise" , "Assimilate (mentally)" , "Break down (food)" , "Periodical summarizing the news" , "Process food" .)