In the penultimate episode of 'The Finder' (and I'm going to miss the series), Walter Sherman was faced with a contract killer who was only known by the name of "Icepick".
Thomas 'Magnum, P.I.' knew a retired gangster who was also known as "Icepick".
I'm resisting the urge to make the claim that they were father and son, with Junior picking up the family trade, because it doesn't seem likely that Elisha Cook, Jr. (as Francis Hofstetter) could have been the father of a character played by Michael Des Barres.
But I'll leave the door open for that possibility. Icepick Senior may have sent the lad off to boarding schools and then to Eton (which would splain the accent) to make sure he had everything in Life which he himself lacked.
"I thought that, that when it was your time,
that you would be the one to hold the string.
Senator Corleone; Governor Corleone....."
Don Vito Corleone
That sort of thing......
However, if they were related, then Icepick Sr.'s plans, like Don Corleone's, fell apart.
The new Icepick may have picked up the alias after the original Icepick died (which would have been around 1995.) And if he was his son, maybe he chose to be known only as "Icepick" because he wasn't too crazy about the last name of "Hofstetter".
Who knows? Perhaps the new "Icepick" eased the original into that permanent retirement just so that he could have sole claim to the name......
Here's another thought - instead of being the son of the original Icepick, maybe the new Icepick was the front man for a rock band called Scum of the Earth. Sir Charles "Dog" Weatherby and his band-mates took great pleasure in violence (as seen when the radio station 'WKRP In Cincinnatti' hosted one of their concerts.) And "hoodlum rock" may have led to him branching out to more hardcore mayhem as a contract killer......