On wikipedia,it says:
In the latest chapters, after defeating Gozen and saving Ikuto, Amu's feelings for Ikuto are shown more clearly. When he reveals he is leaving, Amu begins crying and runs away showing she does indeed feel strongly about him.At the airport, before he leaves, she runs after him, to which Ikuto responds with kissing her on the cheek - very close to the lips - and confessing his love. Amu remains stubborn and does not openly return his feelings. However, Ikuto promises her he'll make her fall for him, as she promises she will find her true self.However,Amu realizes that she loves Ikuto as she managed to "go through" her heart while she only likes Tadase for his "outer" character.