Closing your wound surgically (with stitches, clips or staples) encourages your wound to heal faster. The first phase of wound healing can take around two to three weeks but some people experience delayed wound healing. This can depend on the type of wound you have and how your body responds to healing.aking care of your wound. Dissolvable stitches usually disappear in about one to three weeks, but it can take longer, depending on the type you have. Non-dissolvable stitches, clips and staples are usually removed after three to 14 days, depending on where they are and the type of operation you had.