According to Duck Hill mayor Joey Cooley, Smith resigned from the position at their January meeting.
Cooley said the process has begun for the hiring of a new chief and an agreement with Smith was that he'd stay on until a hire is made.
"He [Smith] agreed to help with the new hire, with grants and things like that," Cooley said. "He told us he'll hang around to help us."
Smith returned to the chief's position last year following the departure of Sean Wilbourn. Cooley said he, especially, appreciated the time Smith has given the town of Duck Hill.
"When we brought him back on, he stayed a lot longer than what was expected," Cooley said. "We really appreciate the time he's given to our town. I, and I'm sure other people, have slept a lot better with him [Smith] running the police department."
Smith, the constable for Montgomery County's first district, is also a captain with the Grenada Police Department.