Informal:
* À plus tard, mon cœur! (See you later, my love!)
* Ciao, bébé! (Ciao, baby!)
* À tout à l'heure, mon chou! (See you soon, my darling!)
* Bisou, mon cœur! (Kiss, my love!)
More formal:
* À bientôt! (See you soon!)
* Au revoir! (Goodbye!)
Remember that the level of formality and affection will depend on your relationship with the person you're talking to.