I have a squeezing, constricting pain right here.

Literal

Here [subject-が] as-if-squeezed hurts.

締めつけられるように痛む 'hurts as if being squeezed' — 締めつける 'to tighten, to constrict' in passive + ように + 痛む. The 'crushing/squeezing' pain quality is medical vocabulary worth knowing — at a doctor's visit, distinguishing 締めつけられる (squeezing), ズキズキ (throbbing), 刺すような (stabbing), and 鈍い (dull) sharply changes the diagnostic picture.