What you have on your left hand is a possible complications of long term IV cannulation. It is what we term as superficial thrombophelbitis ,it is due to localised inflammation at cannulation site. It usually takes 2-3 month for it to resolve. Meanwhile you can continue with thrombophob ointment and hot compress. It should be worried when their is localised warmth around swelling ,collection,discharge.
Next Steps
Ultrasound of local site to rule out any clots and collection