drip-feed

Noun

• A device for dispensing liquids in a slow, regular stream of drops or very small quantities.
• A device for dripping nutrients or drugs directly into a patient's bloodstream. See also intravenous drip.

Verb

• To dispense (a liquid) using a drip-feed.
• To administer nutrients, drugs, etc. to (a patient) using a drip-feed.
• To dispense or dole out in very small portions over a period of time.