you can use the CLI and tmsh to show the of connections for a pool or vip:
[someone@bigip01:Active] config tmsh show ltm pool poolname
Ltm::Pool: xxxxxxxxxxx
Status
Availability : available
State : enabled
Reason : The pool is available
Traffic ServerSide
Bits In 3.2G
Bits Out 2.7G
Packets In 1.4M
Packets Out 886.7K
Current Connections 79
Maximum Connections 122
Total Connections 8.0K
[someone@bigip01:Active] config tmsh show ltm virtual xxxxxxxxxxxxxxxxx
Ltm::Virtual Server: xxxxxxxxxxxxxx
Status
Availability : available
State : enabled
Reason : The virtual server is available
CMP : enabled
CMP Mode : all-cpus
Traffic ClientSide Ephemeral General
Bits In 424.7M 0 -
Bits Out 393.4M 0 -
Packets In 249.7K 0 -
Packets Out 172.1K 0 -
Current Connections 8 0 -
Maximum Connections 31 0 -
Total Connections 1.0K 0 -
Min Conn Duration/msec - - 739
Max Conn Duration/msec - - 423.5M
Mean Conn Duration/msec - - 21.7M
Total Requests - - 0