Constant fingertip pain can stem from various causes, including poor circulation (like Raynaud's), nerve compression, or arthritis. For temporary relief, you can apply an over-the-counter topical anti-inflammatory gel, such as Diclofenac (Voltaren), or a capsaicin cream if the pain is joint or muscle-related. Warm compresses may also soothe the area. However, because fingertip pain can indicate underlying nerve or vascular issues, I strongly advise against long-term self-medication. Please consult a doctor for a proper physical exam to identify the exact cause and get a targeted prescription treatment.