The most common and most likely answer to this crossword clue is the 2 plus 3 plus 2 letter word ON THE GO
I've seen this crossword clue in The Sunday Telegraph
O
N
T
H
E
G
O
More clues leading to the result ON THE GO
- Busy hospital in Eton failed to operate
- In action working, he got to work
- Active period without Mike, such as start of October
- One third of trimester with head away, I get busy
- Busy place to start monopoly?
- Heading away, perhaps June and I may be busy
- Busy gent, husband running round in circles
- Not failing with rugby goal, side’s active
- Busy time without leader and I
- Doing things differently, Ghent in goalless affair
Buddy explains!

The straight part
We know that "busy" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case busy = on the go.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.