Is hard when broken up and may be indigestible (6)

I believe the answer is:

radish

I'm a little stuck... Click here to teach me more about this clue!

'up and may be indigestible' is the definition.
I can't tell whether this definition defines the answer.

'is hard when broken' is the wordplay.
'when broken' indicates an anagram (I've seen this in other clues).
'is'+'hard'='ishard'
'ishard' is an anagram of 'RADISH'.

Can you help me to learn more?

(Other definitions for radish that I've seen before include "Hard vegetable" , "Root eaten raw in salads" , "Plant with crisp root eaten raw" , "Root vegetable used in salads" , "Daikon or mooli" .)

I've seen this clue in The Irish Independent.

Want a hint initially instead of a full solution? Install my app