Bitterness shown by a nomadic tribe in Cyprus (8)
I believe the answer is:
acerbity
'bitterness' is the definition.
(acerbity is a kind of bitterness)
'a nomadic tribe in cyprus' is the wordplay.
'nomadic' indicates an anagram.
'in' indicates putting letters inside.
'cyprus' becomes 'cy' (abbreviation).
'tribe' with letters rearranged gives 'erbit'.
'erbit' going within 'cy' is 'cerbity'.
'a'+'cerbity'='ACERBITY'
'shown by' is the link.
(Other definitions for acerbity that I've seen before include "Sharp and forthright manner" , "Sharp/forthright manner" , "Sourness" , "Harshness or sharpness of speech" , "Sharpness, forthrightness" .)