In terms of synergy, this pairing is very close to wielder/warlock. The classes both want a high Wisdom score, and both at least potentially represent various paths to enlightenment and spiritual growth. The biggest disconnect is that the adept is a martial class and the cleric is a magical one.
When building a character of this type, pay particular attention to the defensive options that you select. They don’t stack, so it’s worth picking ones that give different benefits for maximum utility. Used thoughtfully, the capabilities of these two classes can really enhance each other. For example, a character that is mostly built as an unarmed martial artist can benefit from cleric spells like shield of faith while a traditional healer will find the additional speed provided by the adept class’s features to be very useful in reaching injured or dying party members.
More levels of adept gives you a martial artist with a bit of supernatural power who can do some quick healing or buffing in a pinch, where more levels of cleric gives you a powerful spellcaster with a bit of extra mobility and a mean left hook. An even mix of the two gives you a character that hits really hard and still has access to some decently-powerful magical effects.
[[Synergy Feats for Multiclassers#Adept w/ Cleric|Adept - Cleric chains and ideas]]