This puzzle appeared in the August 2013 Puzzled Pint, whose theme was magazines.
Reveal next hint
For each group of four words, find a fifth word that can go in the middle to make four phrases or compound words. The new phrases and words will all read left-to-right.
The sixteen words you generated in the first step are in four groups, so repeat the process for each such group. Then do it one more time with the resulting four words.