Movement in Wakfu is perform via left-clicking where you would like to go, however the effect of this is different depending on whether you are in combat or out of it.
Every creature has a number of Movement Points, which represent how far they can travel each Turn of combat. This value can be altered through spells and other effects.
A number of spells and effects can alter the MP of a caster's spells. When attempting to reduce the MP of an opponent, the caster must first pass a Willpower Check before the effect is applied. Each time MP is reduced other than part of a spell's cost, the Hypermovement state is applied.
A number of effects allow you place objects into a fight which can obstruct movement. This can be used defensively, though unless you have some attacks which do not need Line of Sight, you can often find yourself at the same disadvantage.
A handful of spells feature MP as part of their cast cost. If the character does not have enough MP, then they cannot cast that spell. This often forces a player to choose between moving, and casting such spells.