in any case, the rule of thirds came about because of the fact that people noticed that subjects placed breaking the thirds gave the picture a bit more oomph than centrally placed objects. this is true even when everyone practises it. somehow, when you place a subject centrally in the picture, the viewer's eye gets very bored very fast, and thus the picture is deemed uninteresting.
HOWEVER, this rule is more of a guideline for those starting out. if you have been shooting a long time or a lot, i guess you'd have noticed that there are many situations where the rule of thirds can be broken and thrown into a garbage bag. the most common way where you can break it is reflections. when there is symmetry, especially when it comes to extreme symmetry, it is definitely more than ok to place the horizon in the centre, for example.
there are also many ways of composing a picture, using leading lines to guide the viewer's eye, etc.
but back to the ts' picture. to me, the picture is not a good one. when i ask myself what do i see in the picture, i see a reflection on a badly maintained concrete floor in a puddle of water. another thing - the reflection is messy. the idea is not a bad one, but note the way you have placed the elements.
1) top left corner, the streak in the pavement CUTS the picture and runs diagonally out of the picture. to make things worse, the color is attention grabbing amidst the generally dark picture. so when one looks at the picture, one will be led OUT of the picture, and never see your reflection.
2) as i always mention, take note of the details. do you find the arrangement of the elements in the reflection itself aesthetically pleasing? i had mentioned earlier that it is messy. there is no clear idea to be formed from the reflection here. it is just a reflection, just that, and therefore it bores me, because i can see better reflections elsewhere.
i think it is not enough to merely say all these, and it happens that i remember eikin posting up a picture taken on the go? with a reflection in it using a puddle as well, put to good use;
click to view.
some other links from a search done on flickr, that i found had roughly the same idea executed in a superior way:
link 1 - here the subject and idea is simple. keeping it simple works.
link 2 - extreme contrast in textures, color between reflection and non-reflection makes the picture