How can Pact of the Chain warlocks' familiars heal?

Question

I've been looking around everywhere, but I cannot seem to find out how a Pact of the Chain warlock's familiar might recover hitpoints. Regular find familiar familiars only have 1 hp, so it's entirely moot for them, but Chain familiars have enough HP that they can potentially take damage and survive.

I don't see any indication that they can benefit from long rests, as they are not characters, but this does seem like the logical conclusion. They certainly don't appear to have hit dice with which to heal.

Answer 1

They can use hit dice, or you can heal them

Any creature that has HP has hit dice. For example, a Sprite has an averaged HP of 2, but that's because it has a 1d4 hitdice. So if that Sprite takes 1 damage, it can use a 1d4 hit dice during a short rest to recover.

A Pseudodragon has a whopping 2d4+2 HP, meaning it has 2 d4 hitdice to use during its short rest.

Answer 2

Familiars do have hit dice

Taking a look at the stats for, say, an imp, you can see that the health is listed as:

Hit Points: 10 (3d4 + 3)

So they have 3 hit die, which are d4. These can be spend during a short rest to recover hit points.