Announce that you’re not running? (7)
I believe the answer is:
declare
'announce' is the definition.
('declare' can be a synonym of 'announce')
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for declare that I've seen before include "Announce formally" , "Aver, state" , "Assert" , "Announce; end innings" , "Make a statement, to customs perhaps" .)