Code:
> ls -w1
./
../
LG_JG_CLIENT_20081024114245_1.txt
LG_JG_CLIENT_200810241142_1.txt
LG_JG_CLIENT_baddata.txt
LG_JG_CUSTOMER_20081024114245.txt
LG_JG_CUSTOMER_20081024114245_1.txt
LM_CM_CUSTOMER_20081024114245_2.txt
LM_CM_TELEPHONE_20081024114245_1.txt
LM_CM_TELEPHONE_20081024114245_2.txt
LM_CM_TELEPHONE_20081024114269_3.txt
LM_JG_CUSTOMER_20081024114245_1.txt
> ls | awk -F"_" 'NF==5 && ($3=="CLIENT" || $3=="CUSTOMER") {print $0}'
LG_JG_CLIENT_20081024114245_1.txt
LG_JG_CLIENT_200810241142_1.txt
LG_JG_CUSTOMER_20081024114245_1.txt
LM_CM_CUSTOMER_20081024114245_2.txt
LM_JG_CUSTOMER_20081024114245_1.txt
> ls | awk -F"_" 'NF==5 && ($3=="CLIENT" || $3=="CUSTOMER") && ($4>20080101000000) {print $0}'
LG_JG_CLIENT_20081024114245_1.txt
LG_JG_CUSTOMER_20081024114245_1.txt
LM_CM_CUSTOMER_20081024114245_2.txt
LM_JG_CUSTOMER_20081024114245_1.txt
Perhaps you can see/understand the logic used here, and expand upon it for your needs.
I make sure five fields -- four _ characters
I see if field 3 is CLIENT or CUSTOMER
I verify that the date > 2080101 (date) 000000 (time)