In his search to find the meaning of the CL letters on the invasion armband, Brian Soper wrote to a magazine published in the States called World War II. They have a section where readers send in information concerning artifacts they need help in identifying the who -what- where about them. The curators at the National World War 2 museum help in solving the readers artifact mysteries if they can. He sent them the armband and what they came up with-sounds plausible enough:
The letters may stand for ‘Chalk Leader’. A chalk being a stick of paratroopers in a plane, which refers to their number chalked onto the hull of their assigned C-47. And the Chalk Leader being the NCO or officer responsible for loading them and their cargo on board. Click on the details of the photos to read more.
Hopefully someone who reads the magazine here will know for sure or remember the armband.