Seesaw and SadGirl both make excellent points. If he is willing to adjust his behavior now that you've brought it up, that shows he really cares for you and respects your feelings.

However, the thing that I would be concerned with is his fear of commitment. Sometimes people flirt because they like the attention and always want to feel attractive to others. Some people are just naturally flirtatious and it's who they are. Other times people flirt because they cannot commit in a relationship. This could potentially be a sign of his inability to have a more serious relationship with you, unless he is just naturally flirtatious. He may stop the behavior in front of you, but may continue it without your presence. Is that something you are willing to accept and be OK with? You may want to have another conversation about his flirtations to explore this further.