I want my eyes tightened or slightly pulled back. What is this procedure called?

There are various eyelid procedures that can "tighten" or "pull back" your eyelids. If you are referring to an upper eyelid lift, this is called a blepharoplasty. An outer eyelid tightening can be called a lateral canthoplasty. These are just a few of many eyelid tightening procedures.  A consultation with an oculoplastic surgeon who specializes in eyelid surgery would give you an ideal way to answer your question and to have a proper evaluation to meet your needs.