It depends on many factors such as the cell line doubling time, the recovery time, medium composition,seeding density... As you know the subculture step causes some damage to cells which require time for recovery. In your case, I think subculturing your cells every 2 or 3 days is the option you might go for.
Cells differ in their rate of proliferation. If you are culturing cancer cells like MCF-7, you might have cells growing seriously and you might think subculturing them every 24 hours is a good idea. If you are working with normal animal cells, the view you have under the microscope should be good enough to tell you that subculturing every day is a dangerous attempt. You wouldn't want to do that because the cells are still struggling to perfect their morphological structures after the synthesis of the attaching molecule to the basement of the flask. Every factors that determines the rate of growth of cells determine the degree of confluency. The percentage confluency of cells normally, must be close to 100% before subculturing. 80-95% is ok. But if after 24 hours, my subcultured cells reach 90% confluency, I would never think of subculturing again, I would only change the medium if necessary and wait for the next day.
Maybe you need to reduce the FBS content of the cell medium formulation. Normally we use 10% FBS, so, in order to culture the cells for some time before subculturing while changing the medium, you can use 6-8% FBS. I have never tried 6-8%, I just thought it is a logical attempt to fix this kind of challenge.
If the cell line is adherent and you're using trypsin to do the transfer, then it may be detrimental to the cells to transfer them again after 24 hours.
If the cell line grows in suspension, then it should be no problem doing a transfer after 24 hours.