This puzzle presented several (poorly) photoshopped images, most seemingly portraying two combined disparate ideas or words. Some are more recognisable than others, one of the intended "in"s being the top right image of what looks to be a gaming cartridge superimposed on a tree with chairs attached.
This image could more simply be described as a "cartridge in a chair tree", which sounds awfully similar to "a partridge in a pear tree", the first gift listed in the well-known "Twelve Days of Christmas" song. In fact, it turns out that each of these twelve images represents one of the "Twelve Days" gifts with alternative rhymes. The puzzle's title being a homophone for "Days" helps confirm this connection.
It is easier to identify the images by going through the song's list and trying to match rhymes than to work forwards from the images alone. Below is each line of the song in order along with the image meant to rhyme with it, and that image's position in the puzzle's order.
To extract an answer from this list one might try taking first letters, but there don't seem to be enough vowels to create anything useful. The next most likely letter extraction method then is indexing into words, and conveniently there is one piece of information we have not yet used: the number associated with each line in the song. We can use these numbers to index into the pictured phrases, using the ordering provided in the puzzle - for example, the first image of "plumbers coming" is associated with "twelve drummers drumming", so we can take the twelfth letter of this pictured phrase and write an I over the image.
Continuing this rule gives the following table:
These letters in order spell increasingly, a fitting descriptor for the infamously cumulative song around which this puzzle is based.
I spent far too long trying to force what I thought was a much neater answer into this puzzle, before realising it was making it too difficult or finnicky to its detriment. The fact that Shakespeare's Twelfth Night is twelve letters long and occurs thirteenth in the First Folio (13 being the next number expected to appear in a new verse of "Twelve Days") seemed too fitting not to reference, but ultimately this puzzle was meant to be a silly/fun one to appear on the first day and so the more complicated answer (which would've required at least two twelve-letter clues to properly hint) was nixed.
|The answer is: increasingly|