You need enough neck to hold the bullet. So at least 1/8 inch neck length. Reality is your case will not shrink that much. You would have to trim it that short.
As others have said, don't worry about it too short. Too long could be dangerous.
General rule of thumb for safe neck length is ONE DIAMETER. This comes in handy when creating a wildcat such as one of the Ackley Improved designs. Mr Ackley used this rule of thumb. To short can be dangerous under some conditions, such as milspec chambers
Back in the days of the Boer War, the Boers asked their combatants to pick up and return empty cartridge cases for reloading. They used several different cartridge configurations but mostly 7.65x53, 7x57 and 303 British (captured). As the war progressed, they found they were desperately short of 7x57 rounds. The 7x57 was a relatively new round at the time so the Belgians reformed the similar 7.65x53 cases on hand to 7x57.
Prior to the outbreak of the ABW, the OVS and Transvaal imported some 45k German made Mauser rifles and carbines of Spanish Pattern in calibre 7mm. Sources indicate that the main arsenal at Pretoria held about 17 million rounds of appropriate ammunition for the Mausers; together with considerable stocks of .45" MH, .303" and 8mm Guedes.
All, however, was not well regarding the 7mm Mauser rounds themselves. Complaints were made about "certain Mauser cartridges causing Mausers to burst" and that "men put the cause down to certain cartridges - and refused to take them". The rounds in question were described as having "short" cases.
(citation can be supplied). It certainly was not a Camp Rumour.
Observing the conflict from the Boer side was the US Military attache; who reported that special "short neck" Mauser ammunition was made for the Boers and that ruptured cartridge cases were common, bullets broke up frequently but all of this was "fairly overcome" by lubricating the bullets. Correct specification 7mm Mauser rounds had a cartridge case length of c.57mm; wheras the "short" cases measured 53mm.
What had gone wrong? Why had non-specification rounds been supplied? A clue seemed to be provided by the offending "short neck" rounds having the letters "F y A" included in their headstamp; the letters indicating "Rifles and Machine Guns" and this marking may have been appropriate for Mauser ammunition supplied to Belgium, Spain and Turkey in another calibre. That other calibre was 7.65mm and the cartridge case of that round was dimensionally similar to the 7mm Mauser round; save for it's length (53mm) and calibre.
It does seem highly probable that one or more ammunition makers contracted to make 7mm Mauser ammunition for the Boers had converted Mauser rounds in one calibre to another; perhaps during the production process and before the rounds had been finally assembled. No proof exists for any of this - just a shrewd guess. Not all Boer Mauser 7mm ammunition was of the offending sub type; the "short neck" rounds today are reasonably scarce here in OZ.
The Boer authorities got around the Mauser ammunition problem as best they could. Some were resized and reloaded by their Dynamite Factory, rounds were greased and the Dynamite Factory even used "red copper" as a bullet jacket material. It all came to nothing and Pretoria fell on 05061900.
The attached pics show examples of the two types of 7mm Mauser ammunition; as well as appropriate headstamps (base markings). I have had to take a few short cuts in presenting this litle contribution; if any forum member needs to know more, I would be happy to supply sources and citations.
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