The slight fleshy growth encroaching the cornea in your left eye is a Progressive pterygium. if in addition to the progression you face any other problems like redness, watering , itching , blurring of vision which usually results once it grows over the optical centre of cornea, it needs to be operated. but i the absence of above mentioned symptoms if the growth is cosmetically unacceptable it can be operated upon. Minimizing exposure to ultraviolet radiation should reduce the risk of development of pterygia in susceptible individuals. Patients are advised to use a hat or a cap with a brim, in addition to ultraviolet-blocking sunglasses to be used in areas of sun exposure.