Like, we look back and see a distinctive difference between the 20s and 30s or the 70s and 80s, but I at least have a tendency to think of fashion as only progressing by the century before 1900. So, I'm sure it moved more slowly than now, but could you look at someone in the 1850s and think "Wow, that's SO 1820s..."?
Definitely yes. The 1820s was hugely different in fashion than the 1850s. In fact, 1850 would be different than 1849 to the people who lived through it. Fashion changes subtly over the years, but there are always distinct trends. Certain colors, fabrics, trims, or new cuts that come in. There's a great example of new fashions in the Kentish Gazette from September 28, 1771 discussing a brand new style of gown "that none but a few families, and those of the first distinction, have yet seen it in England". Judging by the description it's likely a Robe a la Polonaise which was popular in the 1770s. However, like many things it's popularity lessened and was out of fashion by the mid 1780s.
Seasonal fashion changes occurred, certain colors being mentioned as the latest thing. Such as Puce, made popular during the summer of 1775 by Marie Antoinette. Unfortunately this ability as a modern historian to track the subtle changes in fashion is limited by what records survive from the time. The further back, the less we have to look at. Pinpointing in the 1700s is much easier than the 700s. Fashion may have changed slower, there may not be records of it, or a combination of both.
There was some similar discussion in a thread earlier this week.