Are there any time limits prescribed for furnishing information to Director, FIU-IND?

Updated 

Yes. Rule 8 of the Prevention of Money-Laundering (Maintenance of Records) Rules 2005 prescribes time limit for furnishing information to the Director, FIU-IND

The time limit for furnishing information about cash transactions and integrally connected cash transactions , transactions involving receipts by non-profit organisations, cash transactions where forged or counterfeit currency notes or bank notes have been used and cross border wire transfers, every month, as referred to in clauses (A), (B), (BA), (C) and (E) of sub-rule (1) of rule 3 of Prevention of Money-Laundering (Maintenance of Records) Rules, 2005 Shall be by the 15th day of the succeeding month.

In respect of all suspicious transactions referred to in clause (D) of sub-rule (1) of rule 3, the same shall be reported promptly and not later than seven working days on being satisfied that the transaction is suspicious.