CBC requires a new IV for each message. However nobody said that you had to send a message in one go.
Consider SSL/TLS. The connection begins with a complex procedure (the "handshake") which results in a shared "master key" from which are derived symmetric encryption keys, MAC keys, and IVs. From that point and until the connection end (or new handshake), the complete data sent by the client to the server is, as far as CBC is concerned, one unique big message which uses, quite logically, a unique IV.
In more details, with CBC each block (of 16 bytes with AES) is first XORed with the previous encrypted block, then is itself encrypted. The IV is needed only for the very first block, since there is no previous block at that point. One way of seeing it is that each encrypted block is the IV for the encryption of what follows. When, as part of the SSL/TLS dialog, the client sends some data (a "record" in SSL speak), it remembers the last encrypted block of that record, to be used as IV for the next record.
In your case, I suppose that you have an audio stream to encrypt. You could handle it as SSL/TLS does, simply chopping the CBC stream between blocks. It has, however, a slight complication: usually, in VoIP protocols, some packets may be lost. If you receive a chunk of CBC-encrypted data and do not have the previous chunk, then you do not know the IV for that chunk (i.e. the last encrypted block of the previous chunk). You are then unable to properly decrypt the first block (16 bytes) of the chunk you receive. Whether recovery from that situation is easy or not depends on what data you are encrypting (in particular, with audio, what kind of compression algorithm you use). If that potential loss is a problem, then a workaround is to include the IV in each chunk: in CBC-speak, the last encrypted block of a chunk (in a packet) is repeated as first encrypted block in the next chunk (in the next packet).
Or, to state it briefly: you need an IV per chunk, but CBC generates these IV "naturally" because all the IV (except the very first) are blocks that you just encrypted.