Only a qualified contractor may answer this with any accuracy. I have seen jobs cost from $5,000 to $50,000; it just depends on the scope of work, such as, is the chimney 10 feet or 30 feet; is it brick, framed, stone, etc. Way too many variables for "opinions" from this site.
Jack Gillis, M.B.A., J.D.
Jack Gillis Realty Advisors
Nathan Grace Real Estate, Broker
5619 Dyer Street | Suite 100
Dallas, TX 75206