The phrase "a further round of cuts" is correct and usable in written English.
It can be used when discussing additional reductions, typically in a budget, workforce, or resources.
Example: "The company announced a further round of cuts to address the financial shortfall."
Alternatives: "an additional series of cuts" or "another wave of reductions."
"A further round of cuts would have had a devastating effect on the life chances of sixth-form colleges.
On social care, the government has recognised that the system can't sustain a further round of cuts on the scale of the last parliament.
They wanted to see priority measures to cut unemployment including spending to create jobs and a rejection of a further round of cuts.
Spain's prime minister, Mariano Rajoy, has announced a further round of cuts, despite worries that austerity measures may prolong a recession that has left more than a quarter of Spaniards unemployed.
The threat of a general strike and violent protests over a further round of cuts that will result in 50,000 public sector job losses have strengthened the hand of Greek negotiators, along with predictions that a five-year recession will result in a total 20% fall in GDP in 2013.
Anti-austerity protests have been taking place in Greece ahead of a parliamentary vote on a further round of cuts.
In late March 2014, Royal Mail announced a further round of job cuts, with a further 1,300 to depart.
For savers who thought things couldn't get any worse, it could spell a further round of rate cuts – to the best buys at least.
A further round of spending cuts was passed in the hope that this would persuade Brussels to release an additional $38 billion in bailout funds.
On Wednesday, judges, public prosecutors and court workers demonstrated in front of Greece's Supreme Court to protest a further round of pay cuts on top of 20 percent to 50 percent salary reductions already implemented over the last two years.
This means spending as a share of GDP is higher than planned – even if the cash level of spending is as expected – which is why the chancellor is imposing a further round of spending cuts on departments".
