I'm sorry to hear you're having this issue. There are a couple of possible causes for the dispenser dripping more than just a few drops after being used. One possibility does involve bleeding the air out of the line, which you've tried.
Following are the other two tips to try prior to contacting Samsung for service:
1. Try replacing the water filter, regardless of age. A clogged, or partially clogged, water filter can cause the dispenser to drip.
2. Clean the ice chute, which leads from the internal icemaker to the door dispenser, so it's free of any residual ice chips. If there is ice left in the chute it can drip as it melts. This happens most often when dispensing crushed ice.
If, after trying these possible remedies, you continue to experience this issue, please contact Samsung for service either by submitting an online service request through the link below, or calling 800-SAMSUNG to speak with an agent who can assist you.
Online service request form: http://www.samsung.com/us/support/o...
- Ms. Samsung