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.