engagement
noun
uk/ɪnˈɡeɪdʒmənt/ us [ C ]
an arrangement to do something, or to be somewhere:
a speaking/public engagement He is currently out of town on a speaking engagement.
a prior/previous engagement I'm afraid she can't come; she has a previous engagement.
[ U ] HR
the fact of employing someone:
There were concerns about variability in the rates of pay and the terms of engagement of part-time tutors.
without engagement
COMMERCE
used to show that something, for example a price, can be changed:
Please contact us for a written offer without engagement.