Long term side effects of lovenox (enoxaparin) for clotting problems?

Bleeding, bruising. The most common side effects of blood thinners like Lovenox (enoxaparin), an injectible, low molecular weight heparin, is bleeding. This can be minor bleeding, like a cut from shaving that takes longer to stop, or more severe bleeding, like bleeding in the colon or brain. Local site reactions from the actual shots are not uncommon, either.