The Leaves like Women interchange — Leaf-Turner

Leaf-turner is a humorous way to call a reader. Readers interchange opinions about books, good or bad. The poem says that they cannot keep secret of a book's notoriety, like women.

The Leaves like Women interchange 1
Exclusive Confidence-
Somewhat of nods and somewhat
Portentous inference.

The Parties in both cases 5
Enjoining secrecy-
Inviolable compact
To notoriety.
(F.1098/J.987)
[1] Leaves:: leaf-turners, readers.
[2] Exclusive Confidence:: personal view, of readers and women.
[3] nods:: agreements.
[4] Portentous inference:: dreadful assumption without reasoning.
[1-4] Leaves, nods:: "Readers like women interchange personal views, with some agreements and some portentous inference."
[5] Parties in both cases:: readers and women.
[6] Enjoining secrecy:: to enjoin is to prohibit, forbid (OED 3); keeping secret is forbidden.
[7] Inviolable compact:: faithful, sacred contract.
[8] notoriety:: disreputable comment.
[5-8] Parties, compact:: "For readers and women, they must not keep secret about notoriety, which is a sacred contract."

it must be owned, to be likely enough to catch the eye of a random leaf-turner, were to induce him to close the volume in disgust, he would have a very false idea of its contents. ─ The Christian Remembrancer, Volume XII (1846)