Possible Clues:

• Something done about tear following medical intervention?
• Slowly introduce prayer for dead fellow involved in action
• In small segments, give out last message — fine, in fact
• Defer dip (anag.)
• Introduce (fluid) drop by drop
• Give fluid gradually
• Hospital hookup
• Drop supplies as split force's heading into action
• Wimp paid for supply in small instalments
• Hospital hook up