There is significant evidence for temporal memory maintained in the hippocampus and entorhinal cortex [2], just like grid cells[3] in the hippocampus used as coordinate system for spatial and abstract navigation [4] while time cells facilitate "navigation" in temporal dimension.
[0] Hippocampal "time cells" bridge the gap in memory for discontiguous events https://pubmed.ncbi.nlm.nih.gov/21867888/
[1] Basic anatomy of human memory https://courses.lumenlearning.com/wsu-sandbox/chapter/parts-...
[2] Time cells in the human hippocampus and entorhinal cortex support episodic memory https://www.pnas.org/content/117/45/28463
[3] Grid cells: http://www.scholarpedia.org/article/Grid_cells
[4] Time (and space) in the hippocampus https://www.sciencedirect.com/science/article/pii/S235215461...