While holding hands in public is acceptable any further displays of affection, such as kissing or cuddling, are frowned upon.
Punishments for this can range from getting told off by a local to imprisonment and deportation depending on where you are and who has reported the incident.
It is definitely worth your time to read some tips online to avoid being punished for an unintentional offence in the UAE.
This article may help: https://sites.google.com/site/exploringtheuae/useful-tips/behavior. There are a few rules to remember when dating in the UAE.
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