Yes, clocks in the early universe would run slower due to gravitational time dilation. Gravitational time dilation is a phenomenon predicted by Einstein's theory of general relativity, which states that time runs slower in the presence of a gravitational field.
In the early universe, the density of matter and energy was much higher than it is now. This high density resulted in a strong gravitational field. According to general relativity, clocks in regions with a stronger gravitational field run slower compared to clocks in regions with a weaker gravitational field.
Therefore, in the early universe, where the gravitational field was stronger, clocks would experience a greater gravitational time dilation effect, causing them to run slower relative to clocks in regions with a weaker gravitational field. This means that time would appear to pass more slowly in the early universe compared to regions with lower densities of matter and energy.
It's important to note that the effect of gravitational time dilation in the early universe is relatively small and would typically require precise measurements to detect. However, in extreme conditions, such as near black holes or during the early stages of the universe, the effects can become more pronounced.