Small lump on eyelid rim no white doesn't hurt black line/vein in it has grown slightly had at least 3-4 months don't think stye hurts/itchy if pushed?

Have it checked out! Although most of these type of eyelid margin lesions are benign, it is worth having it looked at, especially if it is growing or changing. See your ophthalmologist (eye md) for an assessment. If there is a functional or cosmetic concern, the therapeutic treatment options can be reviewed.