I frequently get requests for Clock or Grandfather Clock Repair.  I do not do this work however, below are service providers who may be able to help you.  

I have no affiliation with those listed below.

All Things Mechanical LLC Danville, KY
Specializes in antique/vintage clock repair, including grandfather, wall, mantel, cuckoo, anniversary, and ATMOS clocks. Offers house calls.
Address: 2265 Waterworks Road, Danville, KY 40422
Phone: (859) 334-1331 or (720) 234-8608 (by appointment)
Website: allthingsmechanical2.godaddysites.com

Tick Tock Clock Shop Glasgow, KY
Sells and repairs new/antique clocks; in-home grandfather clock repairs. Over 30 years experience.
Address: 50 Green Valley Rd, Glasgow, KY 42141
Phone: (270) 629-2562 or cell (270) 646-7188
Website: ticktockclocksshop.com

Tim Miller Clock Repair Scottsville, KY
Antique and new clock repair; authorized Hermle service center. Free estimates.
Address: 1633 Squire Lyles Road, Scottsville, KY 42164
Phone: (270) 779-2300
Website: timmillerclockrepair.com

Corner Clocks (Lexington, KY) — Grandfather clock specialists with house calls. Phone: (859) 433-7997

The Clock Shop (Lexington, KY) — Antique clock repair by appointment. Phone: (859) 255-6936

Many of these are small, appointment-only businesses — call ahead to confirm services, turnaround time, and whether they handle your specific clock type.