My dad has a long habit of combing his hair every few hours, but all his shirts' and pants' pockets are open as in this picture: no zippers or buttons to fasten the pocket.
While on the job, he can't carry a purse. It's obviously unproductive to add zippers to all his clothings' pockets. Too many combs have slid out of pockets, as he must frequently sit and get up. A retractable ski pass holder 'Skipasshalte' doesn't appear to befit combs.
Perhaps if you do not wish to purchase such, you could manufacture a similar one by attaching a clip off a pen lid, to an existing comb. The exact method of attachment would depend on the clip and the comb; perhaps if you find some you could post pictures of them up for more advice