Edwards Community Missionary Baptist Church was in rural part of the county, near the Union County line.
"That's God's house. It's no place to throw fists, or shoot people, or talk about shooting people, it's for blessing the Lord," the church's pastor, Rev. Clayborn Gibbons, told WBIR-TV in Knoxville.
The station reported the building had stood for nearly 70 years, but a recent division over who should lead the congregation erupted into fisticuffs on Sept. 30.
Church member David Lovin told the station "it just all broke loose."
Honeycutt said Thursday morning there had been no arrests in the fire. He said investigators were still taking statements from church members.
Honeycutt said the church has 30-50 members and "there has been a division of the church."
"When I heard that the church burned, it just broke my heart, cause you know that's where my heart was," Lovin said.
On Wednesday night, the congregation met in a church member's garage.
Information from: WBIR-TV, http://www.wbir.com/