Clements, 27, is an attacking midfielder and spent his youth career at Crewe Alexandra.
After several spells on loan at various clubs, he left for Hednesford Town in 2010.
He spent two years with the Pitmen and scored an impressive 28 goals in 104 appearances before being snapped up by Mansfield Town.
He scored 10 goals in 132 games at Mansfield in the Football League and joined Grimsby in January this year where he has made sixteen appearances, scoring 4 times.
He goes straight into the squad to face Maidstone United tomorrow.