Show gusto around duke, wife and migrant (6)

I haven't cracked this one yet — but the brilliant team at Times for the Times have:

here’s what I think: GO (show, informal US, a chance) + IT (gusto, energy or verve), containing D (duke) and W (wife). Or, more likely, as below, GO IT (show gusto). Not a phrase I’ve ever heard. A bird that undertakes some astonishing migrations.