Healing

Healing is one of the major ways to regain Life in Diablo 3. Any spell that repairs health damage is a healing spell, but traditionally only spells that only repair health damage fall into this category, as opposed to Life Steal Skills that transfer health.

Other Healing methods include using Health Globes, Health Regeneration and Skills.

Also See:
Life Regeneration
Life Steal

The Following Is A List Of Each Class' Skills That Can Heal:

Barbarian Skills That Can Heal

Frenzy (Triumph)
Overpower (Revel)

Demon Hunter Skills That Can Heal

Preparation (Battle Scars)

Monk Skills That Can Heal

Breath of Heaven
Cyclone Strike (Soothing Wind)
Serenity (Peaceful Repose)
Mantra of Conviction (Reclamation)
Transcendence (Passive Skill)
Near Death Experience (Passive Skill)

Witch Doctor Skills That Can Heal

Summon Zombie Dogs (Leeching Beasts)
Hex (Hedge Magic)
Sacrifice (For the Master)
Soul Harvest (Siphon)
Spirit Vessel (Passive Skill)
Grave Injustice (Passive Skill)

Wizard Skills That Can Heal

Spectral Blade (Healing Blades)
Virtuoso (Passive Skill)

Follower Skills That Can Heal

Templar (Heal)
Templar (Guardian)