After brief verbal abuse, a caller finally gets cut off (7)
I believe the answer is:
insular
'cut off' is the definition.
(I've seen this before)
'after brief verbal abuse a caller finally' is the wordplay.
'after' means one lot of letters go next to another.
'brief' means to remove the last letter.
'verbal abuse' becomes 'insult'.
'finally' indicates one should take the final letters.
The last letter of 'caller' is 'r'.
'insult' with its last letter removed is 'insul'.
'insul' put next to 'a' is 'insula'.
'insula'+'r'='INSULAR'
'gets' is the link.
(Other definitions for insular that I've seen before include "Aloof - prejudiced" , "Shunning company" , "Narrow-minded like islander?" , "Inward-looking" , "Circumscribed" .)