Both effects, time dilation and the Doppler effect, are correct and would have an impact on how the clock appears to you. However, it's important to note that they are separate phenomena that operate on different aspects of the clock's behavior.
Time dilation occurs due to the relative motion between observers moving at different speeds. According to the theory of special relativity, time runs slower for an object moving relative to an observer at a higher velocity. So, if a clock is moving towards you at near light speed, it would indeed appear to run slower compared to a stationary clock.
On the other hand, the Doppler effect is a phenomenon related to the change in frequency or wavelength of waves when there is relative motion between the source of the waves and the observer. It is commonly experienced with sound waves or light waves. In the case of light, if the source of light (the clock) is moving towards you at a high velocity, the wavelength of the light waves emitted by the clock would appear shorter (blueshifted). Consequently, the perceived frequency of the light waves would be higher, which could make the clock appear to run faster.
Therefore, when considering both effects, the time dilation effect would dominate, and the clock moving towards you at near light speed would appear to run slower overall. The Doppler effect could cause a minor alteration in the perceived speed, but it would not override the significant time dilation effect predicted by special relativity.