Yes I use a wash soft face cloth or wet cotton ball. I will either use a toothbrush or flea comb as well, but I have found that by trimming the hair as well helps out with not having a pile of wet hair there constantly, because a pile of wetness can harbor bacteria and cause the skin to be tender and even cause sores.
If the globs were green or yellow, then I would be concerned, but red eye boogers is kinda common. But, you have to do what makes you feel comfortable.
