VERB + LIFELINE

throw sb
catch, cling to
He clung to the lifeline and the woman pulled him towards the bank

ADJ

real, vital
Visits from loved ones are a vital lifeline for prisoners
financial
The state pension is their financial lifeline

VERB + LIFELINE

give sb, hold out, offer (sb), provide (sb with), throw sb (out)
The organization provides a real lifeline for many women in poverty. He threw me a lifeline when he offered me a job
have
With this one unexpected victory, the club now has a lifeline