Run over East German - I hesitate to say - cock (7)
I believe the answer is:
rooster
'cock' is the definition.
('rooster' can be a synonym of 'cock')
'run over east german i hesitate to say' is the wordplay.
'run' becomes 'r' (cricket abbreviation).
'over' becomes 'o' (cricket abbreviation).
'east german' becomes 'ost' ('east' in German**).
'i hesitate to say' becomes 'er'.
'r'+'o'+'ost'+'er'='ROOSTER'
(Other definitions for rooster that I've seen before include "male with comb" , "8 [RURAL] alarm call" , "American cockerel" , "Crowing bird" , "Male domestic fowl in USA" .)