The most common and most likely answer to this crossword clue is the 6 letter word JAFFAS
I've seen this crossword clue in The Guardian
J
A
F
F
A
S
Buddy explains!
The straight part
We know that "Great deliveries/oranges" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case great deliveries/oranges = jaffas.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 JAFFAS mean?
JAFFAS noun- A type of sweet orange, normally seedless.
- An impotent or infertile male.
- A ball that is very difficult for the batsman to hit because it moves erratically either through the air or off the pitch