Time ran out = Bhí an t-am caite.

Time is running out = ?
Tá an t-am ag éirí caite?

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Tá an t-am ag dul amú maybe?

Wouldn't that be 'time is being wasted'? Perhaps it can mean both?

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"Tá an t-am ag breith orm/orthu/r.l.s" is what I would say

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The dialect I use is Cork Irish.
Ar sgáth a chéile a mhairid na daoine, lag agus láidir, uasal is íseal

Tá an t-ám ag imeacht (uainn). Unless that's Béarlachas, I don't know, it is heard anyhow.

Doesn't sound like anything in English on this side of the Straits of Moyle, so if there's a similar structure in Hiberno-English, that'll be an Gaelicism in the English.

It's also structurally similar to the ScG (lit "the time is running on us") so seems pretty Gaelic.

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A language belongs to its native speakers, and when you speak it, you are a guest in their homes.
If you are not a good guest, you have no right to complain about receiving poor hospitality.

Actually, this is the one I am most familiar with. I had forgotten it. I still have difficulty about the whole Béarlachas issue. I have ditched phrases that I thought were Béarlachas only to later find out that they weren't!

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There is also the expression

Ní tráth moille é - There is no time for delay

Not quite the same thing, but similar.