The most common and most likely answer to this crossword clue is the 8 letter word BASTARDS
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Buddy explains!
The straight part
We know that "certain (Major-era) cabinet members, once" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case certain (major-era) cabinet members, once = bastards.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does BASTARDS mean?
BASTARDS noun- A person who was born out of wedlock, and hence often considered an illegitimate descendant.
- A mongrel (biological cross between different breeds, groups or varieties).
- (typically referring to a man) A contemptible, inconsiderate, overly or arrogantly rude or spiteful person.
- A man, a fellow, a male friend.
- (often preceded by 'poor') A person deserving of pity.
- A child who does not know his or her father.
- Something extremely difficult or unpleasant to deal with.
- A variation that is not genuine; something irregular or inferior or of dubious origin, fake or counterfeit.
- An intermediate-grade file; also bastard file.
- A sweet wine.
- A sword that is midway in length between a short-sword and a long sword; also bastard sword.
- An inferior quality of soft brown sugar, obtained from syrups that have been boiled several times.
- A large mould for straining sugar.
- A writing paper of a particular size.
- A Eurosceptic Conservative MP, especially in the government of John Major.