The only weed killers that are successful at killing creeping charlie are weed killers that contain dicamba. Even dicamba is only successful if applied several times at the right time. I'v used both Gordon's Trimec and Weed-B-Gone Chickweed, Clover and Oxalis Killer. I've also mixed the two together into a super-cocktail when I've been particularily upset with the creeping charlie around the farmhouse.
In order to kill creeping charlie, you have to apply dicamba based herbicide to your lawn in early fall when creeping charlie plant is growing most actively which will leave it weakened enough so that it will have a difficult time surviving the winter. A master gardner told me that the creeping charlie stores the herbicide in it's root system in preparation for winter. I will usually try to get a second application in on those last nice days of the fall before the first killing frost. You then apply it again in the late spring when the stuff is in bloom, followed 14 days later with a final application.
Also, only apply dicamba herbicide 3 days after mowing and do not mow for 3 days after applying it. This will allow the creeping charlie to grow more leaves, which will cause it to take in more herbicide and then will allow time for the herbicide to work through the plant’s system.
A couple of applications of Round-Up works too :wink: