Wether music or poetry (stanzas)- I use CLUIN's method.

Study two measures, look for the pattern, memorize.
Study the next two measures, link and play four measures.

Study measures five&six memeorize
Study measures seven&eight memorize and play 5,6,7,8 together.

Now play ALL four measures....continue pattern ad-finum.

When you "study" examine the changes....WHERE does the "bridge" occur....the pattern is easy the "bridge" requires, sometimes, as much memorization-time as the entire tune....that 9th or 11th or flat-5th chord is frequently the "signiture" chord of the composer....something the audience expects to hear.

Sincerely,
Gargoyle