Please tell me will veneers be good at fixing a jagged clearance?

Yes but..: Visit with your dentist and have it closely evaluated. One of the options is to have the edges shaped out for you if it is not too severe. The more aggressive option of course is veneers, which will permanently shape it out for you. Jagged edges often are the sign of grinding, so you might want to have that evaluated as well.

Jagged Teeth: Have a variety of solutions from the simple use of tooth-colored bonding/composite material to veneers, depending on the teeth, bite and how complicate the situation is. Rec.: see a cosmetic dentist for evaluation, imaging and treatment.

Straighten: Non-surgical solution: see orthodontic specialist to align your teeth. Surgical solution: restore your teeth to disguise their mal-alignment (crowns, veneers, enamel-pasty, bonding, etc). Best solution for most long-lasting result: have orthodontist create best platform on which restorative dentist can do his/her magic.