Possibility #1
The idea that one who becomes Christian
should not "look back" (long for) their previous, sinful, non-Christian life.
Anyone who does so is not fit for the Kingdom of God.
Possibility #2
A reference to Elijah and Elisha in the Old Testament.
In the Old Testament, the prophet Elijah came to Elisha while Elisha was plowing the family fields, threw his mantle over Elisha's shoulders (offering Elisha the opportunity to follow him as his apprentice, so to speak). Elijah continued walking.
Elisha ran after Elijah and entreated, "Let me say goodbye to my mother and father first and then I will follow you."
Elijah replied (paraphrased): "Just go back."
Elisha, apparently stung, in fact did return
and detached the oxen from the plow
and sacrificed the oxen using the wood of the plow to make the sacrificial fire
(all, apparently, to prove to Elijah that he chose to dissolve any familial attachment)
and then followed Elijah, who at that point accepted him.
https://www.biblegateway.com/passage/?search=1ki+19%3A19-21&version=NASB;NRSV
Elisha became the most prolific miracle-worker of the Old Testament. Indeed: many of his miracles were duplicated by only one other Bible person...Jesus.
- the feeding of a crowd with one portion of food
- resurrection of a boy [I believe: the first recorded case of primitive CPR]
- healing leprosy (more precisely: "skin disease")
etc.