取り急ぎ連絡します
I will get back to you soon.
to sever the connection―cut off the communication―(between the two)
to sever the connection (between the two―with the other)―cut off the communication (between the two―with the other)
to establish a connection (between the two―with the other)
to establish a connection (with something)
取り急ぎ連絡いたします。
The correspondence lapsed
to ask for information about something
I will let you know after making inquiries.
of a communication, to reach someone
Please contact me quickly.