Most serious photographers are acutely aware of the key benefits of using a tripod. All should be aware that a good, sturdy tripod minimizes the effects of camera shake to help ensure sharpness. Most are also aware that this stability then permits longer exposures, allowing creative elements like the smoothing of flowing water, adding motion blur and night shots.
Beyond that, many photographers also see a tripod as an essential asset when it comes to taking macros, panoramas, HDR or focus-stacking images.
However, while reflecting my own work I have come to realize that a tripod offers much more. I feel that as soon as I attach my camera to a tripod both my mindset and workflow change.
The first change I see is a more critical view of the subject and the commitment of time. This leads me to pause and become more selective with what I choose to undertake from the outset..
The next benefit lies in visualization and capture of the image. I find myself more considerate of the composition, and more attentive to the technical aspects. Once camera and tripod are set I find myself more willing to wait for a change in the environment , patiently prepared to fire the shutter when the optimal moment arrives.
This leads to the final benefit, review and adjustment. Following each shot I always perform the regular checks (histogram, focal point etc) but using a tripod I tend to pay a greater attention to detail -checking for distracting elements, zooming in to ensure image sharpness etc.
For me the habit of using a tripod encourages this shift in mindset, ultimately resulting in higher quality output. Of course there are scenarios where the use of a tripod may not make sense, but I would recommend keeping one on hand for those moments where the luxury of time exists.
Get out, and shoot good light