The most common and most likely answer to this crossword clue is the 3 plus 5 letter word AIR FORCE
I've seen this crossword clue in The Daily Telegraph
A
I
R
F
O
R
C
E
More clues leading to the result AIR FORCE
- Broadcast for church service
- One particular service a strain for Anglicans
- Hymn for church service?
- Song for church service
- Voice for church service
- Kind of blue? One follows in leader’s plane
- Music for church service
- Tune for church service
- Service’s push following broadcast
- Service broadcast on behalf of church
Buddy explains!

The straight part
We know that "Kind of blue?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kind of blue? = air force.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.