Review of an estimate should be mandatory with your Chief Estimator, regardless of your competency level. Here is an abbreviated list of items you should review systematically prior it leaving your office:
specs, plans, proposal, extension, labor (direct, incidental and indirect), labor factors and escalation, subs, gen expenses, equip, quoted material, and then other final items such as risk and price
I should add: make a template to keep every facet of your process clear and enhance them from past feedback as time goes on. Do a plus/delta at the end of every meeting and incorporate next go round. Are you heading up the estimating department? Your Chief Estimator should already have this structured for you...