What may draw to close in Barrow with little hesitation? (5)
I believe the answer is:
tower
'what may draw' is the definition.
(something which tows)
'to close in barrow with little hesitation?' is the wordplay.
'close in' indicates one should take the final letters.
'with' says to put letters next to each other.
'little hesitation?' becomes 'er'.
The last letter of 'barrow' is 'w'.
'to'+'w'+'er'='TOWER'
(Other definitions for tower that I've seen before include "Monument" , "See 4 Down" , "Stand very high (over)" , "Rise to great height" , "Reach high" .)