The most common and most likely answer to this crossword clue is the 9 letter word BARNSTORM
B
A
R
N
S
T
O
R
M
Buddy explains!

The straight part
We know that "Campaign politically" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case campaign politically = barnstorm.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does BARNSTORM mean?
BARNSTORM noun- A series of appearances in small country towns, as by a politician or a travelling theatre group.
- To travel around the countryside making political speeches etc.
- To appear at fairs and carnivals in exhibitions of stunt flying, sporting events, or theater.
- (of a sports team) To travel from town to town performing in front of small crowds. https//web.archive.org/web/20051201203635/http://www.sportingnews.com/archives/sports2000/numbers/173540.htmlhttps//web.archive.org/web/20070505133024/http://www.hoophall.com/halloffamers/bhof-original-celtics.htmlhttps//web.archive.org/web/20070929004147/http://www.jimthorpe.org/jim_thorpe_athlete.php http//www.nytimes.com/2013/06/17/sports/soccer/to-us-soccer-team-home-field-is-a-many-changing-thing.html?_r=2