Strain of impeding disagreeable central characters (8)
I believe the answer is:
pedigree
'strain' is the definition.
(I know that pedigree is a type of strain)
'impeding disagreeable central characters' is the wordplay.
'impeding' becomes 'pedi' (I can't justify this - if you can you should give a lot more credence to this answer).
'central characters' says to take the centre.
The middle of 'disagreeable' is 'gree'.
'pedi'+'gree'='PEDIGREE'
'of' acts as a link.
Can you help me to learn more?
(Other definitions for pedigree that I've seen before include "Blood line" , "High-class" , "List of ancestors" , "Line of ancestry, particularly a distinguished one" , "Stock" .)