I am running the latest free version of AM on Android 4.2.2 on a phone and a tablet. I have one Gmail account on AM.
In Gmail I have 5 labels nested under a label called Schools
On my Mac I recently changed the name of one of these 5 nested labels.
This change of name has not synced with AM.
I thought this may be a problem with nested labels so I made a change to a non-nested label to see if this would sync with AM. Same problem. Label in AM does not change.
I have just solved this issue. I went to Options & Folders - Folders and found the new label name in the list of folders. I just needed to change the label settings to "Sync as incoming" and the new label name now appears in the account.