One dramatically tamed in Shropshire town — not half! (5)
I believe the answer is:
shrew
'one dramatically tamed' is the definition.
(as in Shakespeare's The Taming of the Shrew)
'town not half' is the wordplay.
'town' becomes 'shrewsbury' (Shrewsbury is a town in Shropshire).
'not half' indicates taking half.
'shrewsbury' with half the letters taken is 'SHREW'.
'in shropshire' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for shrew that I've seen before include "Woman who's assertive" , "Harridan" , "Mouselike mammal with long snout" , "Insectivore - Katharina" , "Small mouselike animal" .)