(colloquial) Happening at the very end of an event.

The last gasp or breath a person takes before death. / (by extension) The point of death, or the last period of one's life. / (figuratively) A last-gasp moment, attempt, etc.

The last breath taken before death. / (figuratively) The last moments, or final period, of something that becomes obsolete or inactive.

plural of dying gasp