The most common and most likely answer to this crossword clue is the 6 plus 7 letter word HUNGER MARCHES
H
U
N
G
E
R
M
A
R
C
H
E
S
Buddy explains!
The straight part
We know that "Protests on the go" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case protests on the go = hunger marches.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.