Yes — Arkansas law (A.C.A. 20-7-109) requires a conveniently located telephone for emergency use at public pools.
Arkansas law requires all public pools to provide telephone service that is conveniently located for emergency use.
Citation: A.C.A. 20-7-109
"Conveniently located" is intentionally broad, so local health inspectors have some discretion. Placing the phone at the main pool gate or lifeguard station, with emergency numbers posted nearby, typically satisfies this requirement.
SouthEast Telephone installs and monitors cellular emergency pool phones nationwide and can help you meet Arkansas's requirements.