In Einstein’s 1095 paper 'On the Electrodynamics of Moving Bodies' he presents two clocks: Clock A is moving in a linear fashion relative to clock B, and hence Clock A would experience a dilation in time, ticking slower through each second, despite before beginning its horizontal translation it being synchronized with same.
Hence if time can bend for a moving observer (due to the perspective of a fixed observer watching them) Einstein's first postulate of relativity (that all frames of reference are equally valid) tells us that it can also bend for the fixed observer (from the perspective of the moving observer.) This is mutual time-dilation. It is a perceived relative phenomenon (depending on the perspective of the observer in question), however the principles from which it arises are psychological in nature; not physical, yet they are regarded as an accurate representation of the mechanics of the physical world by the bulk of the scientific community.
Perspective does not equate to reality. Time moves mountains and turns grasslands into forests; how can it be touched? Let alone bent.
So the question as it has remained for over a century still stands:
Which clock is moving faster? As it is a physical impossibility that both clocks are moving faster and slower than each other. Mutually-exclusive simultaneous events can only occur in the mind.