He may be a disciple or he may not. The Lordship view of regeneration is that regeneration is the supernatural work of God, whereby the sinner is transformed by the giving of new life in Christ. As a result of this new life there will also be certain changes in the sinner's life. There will be deliverance from the dominion of sin as well as a desire and a power to live a godly life. It would be impossible for one to experience regeneration and remain unchanged.
Transformation is the clearest evidence of regeneration.
True conversion will result in a life that seeks after new obedience and good works. It is incredible to think that one can experience the powerful, supernatural work of regeneration and still have a rebel's heart and live a rebel's life. Certainly the new convert needs to grow in grace and knowledge and there will be a sincere desire to know and grow. His affections will be fixed on Jesus-not perfectly but purposefully. Since his will is changed in regeneration he will now have a desire to do the will of God despite of many failures.