You will find if you strap a mobile to your gun marshalls will question if you can use it to communicate. So I was told when I asked to do it anyway.
If it is a normal camera and you have permission then I dont see why either.
Only stating what I was told by a marshall, but it was a mobile phone I suppose. sorry if I am wrong.
Size of these digital cameras nowadays you could always selotape one to your head or shoulder
Nige