The most common and most likely answer to this crossword clue is the 4 letter word AGOG
A
G
O
G
More clues leading to the result AGOG
- Curious golf supports in the past
- Headless giant is very curious
- Highly curious in past, prying ultimately
- In the past, good to be expectant
- Very curious compromise between legendary pair of giants?
- Highly excited in the past, disappointing ultimately
- Very excited in the past by golf
- A mythical giant with eyes on stalks
- Anxious to be part of Gog and Magog, however things go
- All eager for a try before start of game
Buddy explains!

The straight part
We know that "very curious" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case very curious = agog.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 AGOG mean?
AGOG adjective- In eager desire, eager, astir.
- (chiefly of eyes) Wide open.
- In a state of high anticipation, excitement, or interest.