The most common and most likely answer to this crossword clue is the 4 plus 3 plus 2 letter word GREW OUT OF
I've seen this crossword clue in The Guardian
G
R
E
W
O
U
T
O
F
More clues leading to the result GREW OUT OF
Buddy explains!
The straight part
We know that "Too old for" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case too old for = grew out of.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.