Irishman around pub picked up nurses (7)
I believe the answer is:
nannies
'nurses' is the definition.
('nanny' can be a synonym of 'nurse')
'irishman around pub picked up' is the wordplay.
'irishman' becomes 'sean' (I've seen this in other clues).
'around' means one lot of letters goes inside another.
'pub' becomes 'inn' (I've seen this before).
'picked up' shows that the letters should be reversed in order.
'sean' going around 'inn' is 'seinnan'.
'seinnan' in reverse letter order is 'NANNIES'.
(Other definitions for nannies that I've seen before include "Female goats" , "female servants?" , "They look after children" , "Children's nurses" , "Child minders" .)