Emergency talks are being held after the representatives were told their planned surgeries in primary schools may be affected by the clustering of school lets.
It is the latest blow to communities after the Evening Times revealed how kids' clubs are being evicted from schools as part of council plans to save £430,000.
Some councillors say they are being advised to move their surgery to locations outwith their ward, while others are concerned over the cost of re-advertising where they will be if they have to move.
The city council wants to move events being held in the evening at older schools into secondaries and new-builds, where there are other people using the facilities at the same time.
They say they are still working on the community let cluster review and are consulting with councillors.
But one councillor said he felt he wasted his money after spending more than £600 to produce 20,000 leaflets to advertise where his surgeries are held.
Councillor Norman MacLeod has used Shawlands and Pollokshields primaries as bases to listen to residents' issues since he was elected in May last year.
The Pollokshields councillor, who is SNP spokesman for finance, said: "It is a matter of regret that the council is moving groups away from schools.
"Primary schools are for the whole community and we should be working to keep them that way.
"I spent £633 from my own money on extra leaflets and notices to publicise where residents can talk to me. I was planning to use them over the next few years but now I've been told I might have to change locations."
Councillor for Garscadden and Scotstounhill Graeme Hendry questioned if the plans would save any money.
He said: "The costs involved in moving so many surgeries will probably be more than the savings by the time you take into account advertising and leaflets.
"The suggestion made to myself was that I moved one of my surgeries to a school not even in my ward.
"It's time they rethought this policy and open local schools to local communities."
As we reported on Thursday last week, parent-led group Scotstoun Woodies was told it could no longer use its base of 15 years at Scotstoun Primary.
The club, which holds activities for around 50 children aged from 5-18, has temporarily moved to St Thomas Aquinas Secondary School.
A spokeswoman from Glasgow City Council said: "We are working with councillors and if there are any changes to be made we will make sure they are informed.
"There will be a common sense approach and we will be compensating any councillors who have used money from their pocket for advertising surgeries."