I wondered if the apparently thorough index at the end of J. M. Neale's 4 volume commentary on the Psalms, primitive and medieval writers and from the various office books and hymns of the Roman, Mozarabic, Ambrosian, Gallican, Greek, Coptic, Armenian, and Syriac Rites. That is indeed the subtitle! I wondered, as I said, if this would provide an insight into relationships between Job and the Psalms - but after a few tests, I think it will not be a quick decision.
This comprehensive index, manually created in a mechanical but pre-electronic time, is a marvel of completeness with respect to the contents of his book. But it is not a companion reading except to the extent that it reflects where Job is referenced in the commentary by those detailed prior authors and rites.
E.g. Job 1:6 Psalm 37:12 - Any relationship at all verbally? None. Job 14:4-5, he notes Psalm 39:5, Job 14:14:19, Psalm 18:3. But no mention of the tree image in Psalm 1 - a possible companion to Job 14. And the Psalm 39 allusion is anticipated by Job 14:13 not verses 4 and 5. Besides this, I must continuously translate Roman numerals to numbers.
There are allusions to the Psalms in Job - some chapters invite a companion reading. I have referenced a few in the translations on Job - but I am not quite ready to try the reverse references. Each allusion needs more than a touch. And each needs a new word in our times.