The most common and most likely answer to this crossword clue is the 10 letter word CONTINGENT
I've seen this crossword clue in The Daily Telegraph
C
O
N
T
I
N
G
E
N
T
More clues leading to the result CONTINGENT
- Part of army finally serving in Europe, perhaps
- Group of people trace books on criminal
- Uncertain German admitted to not having sex
- Study, can he? That’s possible
- Gin swilled in happy party
- Group pleased to accept free gin
- America perhaps hosting golf team
- Party beginning in Ghana in Africa, say?
- Dependent group of people
- Military group good to go in Africa perhaps
Buddy explains!

The straight part
We know that "delegation" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case delegation = contingent.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 CONTINGENT mean?
CONTINGENT noun- An event which may or may not happen; that which is unforeseen, undetermined, or dependent on something future.
- That which falls to one in a division or apportionment among a number; a suitable share.
- A quota of troops.
- Possible or liable, but not certain to occur.
- (with upon or on) Dependent on something that is undetermined or unknown.
- Dependent on something that may or may not occur.
- Not logically necessarily true or false.
- Temporary.